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(k1, …, kn)-CONVEXITY IN ℝn
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  • Journal title : Honam Mathematical Journal
  • Volume 37, Issue 4,  2015, pp.513-527
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2015.37.4.513
 Title & Authors
(k1, …, kn)-CONVEXITY IN ℝn
PARK, SUNG-HEE;
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 Abstract
In this paper, we first introduce and study new concepts of ()-convexity and k-segment. Secondly, we shall discuss some properties of nonisotropically starlike domains in with respect to the origin.
 Keywords
()-convex set;()-convex function;quasi-()-convex function;k-segment;()-nonisotropically starlike with respect to the origin;
 Language
English
 Cited by
 References
1.
G. Bharali, Nonisotropically balanced domains, Lempert function estimates, and the spectral Nevanlinna-Pick problem, preprint, 2006.

2.
W. Fleming, Functions of Several Variables, 2nd ed., Undergraduate Texts in Mathematics, Springer, New York/Heidelberg, 1977.

3.
M. Jarnicki & P. Pflug, Invariant Distances and Metrics in Complex Analysis, 2nd Extended ed., de Gruyter Expositions in Mathematics 9, Walter de Gruyter, 2013.